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Target Fitting Method for Spherical Point Clouds Based on Projection Filtering and K-Means Clustered Voxelization.

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Summary

A new PK-RANSAC algorithm improves spherical point cloud fitting in industrial computed tomography (CT) measurements. This method significantly enhances accuracy and robustness by combining projection filtering and K-Means clustering, overcoming limitations of traditional algorithms.

Keywords:
CT measurementK-Means clusteringsphere target fitting (STF)three-dimensional point data projection

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Area of Science:

  • Metrology and Measurement Science
  • Computer Vision and Image Processing
  • Geometric Modeling

Background:

  • Industrial computed tomography (CT) is crucial for non-contact, high-precision measurements.
  • Point cloud data from CT scans often contain artifacts, leading to inaccurate geometric parameter fitting.
  • Existing methods like least squares and RANSAC have limitations in accuracy and robustness due to noise and artifacts.

Purpose of the Study:

  • To develop a robust and accurate spherical point cloud fitting algorithm for industrial CT measurements.
  • To address the challenges posed by artifacts and noise in CT-derived point clouds.
  • To improve the reliability of geometric parameter extraction in metrology applications.

Main Methods:

  • Proposed a novel algorithm, Projection and K-Means RANSAC (PK-RANSAC), integrating projection filtering and K-Means clustering.
  • Utilized RANSAC for initial parameter estimation, followed by 2D projection for center coordinate correction.
  • Employed K-Means clustering on sampled points and weighted the largest cluster for final parameter determination.

Main Results:

  • PK-RANSAC achieved a sphere center fitting deviation of 1.91 μm on a standard ball-plate.
  • This represents a significant improvement over the traditional RANSAC method, which yielded a deviation of 25.41 μm.
  • The experimental results validate the superior accuracy and robustness of the proposed PK-RANSAC algorithm.

Conclusions:

  • The PK-RANSAC algorithm offers a substantial advancement in fitting geometric parameters from noisy point clouds in industrial CT.
  • The integration of projection filtering and K-Means clustering effectively mitigates the impact of artifacts.
  • PK-RANSAC demonstrates high accuracy and robustness, making it suitable for precise metrology applications.